Matching Pairs Properties of Real NumbersOnline version Matching properties to examples by Lisa Schroeder 1 Inverse Property of Addition 2 Associative Property of Multiplication 3 Identity Property of Addition 4 Associative Property of Addition 5 Commutative Property of Addition 6 Distributive Property 7 Commutative Property of Multiplication 8 Identity Property of Multiplication 9 Inverse Property of Multiplication q x 1= q and 1 x q = q (a x b) x c = a x (b x c) a(b + c) = ab + ac a + b = b + a a+(-a)=0 and -a+a=0 a+(b+c) = (a+b)+c a x b = b x a 0+r =r and r+0=r y x 1/y = 1 and 1/y x y = 1 (y does not equal 0)